Least Common Multiple of 9438 and 9443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9438 and 9443 the smallest integer that is 89123034 that is divisible by both numbers.
Least Common Multiple (LCM) of 9438 and 9443 is 89123034.
LCM(9438,9443) = 89123034
LCM of 9438 and 9443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9438 and 9443 by Prime method
- Least Common Multiple of 9438 and 9443 with GCF Formula
LCM of 9438 and 9443 is 89123034
Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9443. First we will calculate the prime factors of 9438 and 9443.
Prime Factorization of 9438
| 2 | 9438 |
| 3 | 4719 |
| 11 | 1573 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 9438 are 2, 3, 11,13. Prime factorization of 9438 in exponential form is:
9438 = 21×31×112×131
Prime Factorization of 9443
| 7 | 9443 |
| 19 | 1349 |
| 71 | 71 |
| 1 |
Prime factors of 9443 are 7, 19,71. Prime factorization of 9443 in exponential form is:
9443 = 71×191×711
Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9443.
LCM(9438,9443) = 21×31×71×112×131×191×711
LCM(9438,9443) = 89123034
Factors of 9438
List of positive integer factors of 9438 that divides 9438 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1, 7, 19, 71, 133, 497, 1349, 9443
Least Common Multiple of 9438 and 9443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9443, than apply into the LCM equation.
GCF(9438,9443) = 1
LCM(9438,9443) = ( 9438 × 9443) / 1
LCM(9438,9443) = 89123034 / 1
LCM(9438,9443) = 89123034
Properties of LCM 9438 and 9443
(i) The LCM of 9443 and 9438 is associative
LCM of 9438 and 9443 = LCM of 9443 and 9438
Related Least Common Multiples of 9438
Related Least Common Multiples of 9443
Frequently Asked Questions on LCM of 9438 and 9443
1. What is the LCM of 9438 and 9443?
Answer: LCM of 9438 and 9443 is 89123034.
2. What are the Factors of 9438?
Answer: Factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. There are 24 integers that are factors of 9438. The greatest factor of 9438 is 9438.
3. What are the Factors of 9443?
Answer: Factors of 9443 are 1, 7, 19, 71, 133, 497, 1349, 9443. There are 8 integers that are factors of 9443. The greatest factor of 9443 is 9443.
4. How to Find the LCM of 9438 and 9443?
Answer:
Least Common Multiple of 9438 and 9443 = 89123034
Step 1: Find the prime factorization of 9438
9438 = 2 x 3 x 11 x 11 x 13
Step 2: Find the prime factorization of 9443
9443 = 7 x 19 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89123034 = 2 x 3 x 7 x 11 x 11 x 13 x 19 x 71
Step 4: Therefore, the least common multiple of 9438 and 9443 is 89123034.